What is 0.0897 as a fraction in simplest form.

Answer: 0.0897 as a fraction is 897/10000

Converting the decimal number 0.0897 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.

Step 1: Understand the Decimal

The decimal 0.0897 can be broken down as:

0.0897 = 0 + 0.0897


Here, 0 is the whole number part, and 0.0897 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0897, to a fraction. To do this, consider the place value of the decimal:

0.0897 =

897

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 897/10000. To do this, find the greatest common divisor (GCD) of 897 and 10000.

Now, divide both the numerator and the denominator by their GCD:


897 ÷ 1

10000 ÷ 1

=

897

10000



So, 0.0897 as a fraction is 897/10000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0897 = 0 + 0.0897, express the entire number as a mixed fraction:

0.0897

= 0 +

897

10000

=

0

10000

+

897

10000

=

897

10000



Here, 0/10000 is the whole number 0, and 897/10000 is the fractional part.



Final Result: Fraction Form of 0.0897 After simplifying, we get the final fraction:

Answer: 0.0897 = 897/10000



Conclusion

Converting 0.0897 to a fraction results in 897/10000. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.

Calculated Values List